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A note on the infinite divisibility of a class of transformations of normal variables

Statistics Theory 2011-08-03 v3 Statistics Theory

Abstract

This note examines the infinite divisibility of density-based transformations of normal random variables. We characterize a class of density-based transformations of normal variables which produces non-infinitely divisible distributions. We relate our result with some known skewing mechanisms.

Keywords

Cite

@article{arxiv.1103.5220,
  title  = {A note on the infinite divisibility of a class of transformations of normal variables},
  author = {A. Murillo-Salas and F. J. Rubio},
  journal= {arXiv preprint arXiv:1103.5220},
  year   = {2011}
}